عنوان

Multiparticle quantum scattering in constant magnetic fields /

082182919X (alk. paper)

9780821829196 (alk. paper)

b522653

Multiparticle quantum scattering in constant magnetic fields /

[Book]

Christian Gérard, Izabella Łaba.

Providence, R.I. :

American Mathematical Society,

c2002.

xiii, 242 p. :

ill. ;

26 cm.

Mathematical surveys and monographs,

no. 90

0076-5376 ;

Includes bibliographical references (p. 235-239) and index.

Machine generated contents note: Chapter 1. Fundamentals 1 -- 1.1. Introduction 2 -- 1.2. Hamiltonians 9 -- 1.3. Reducing transformations 21 -- 1.4. Bound, and scattering states 36 -- Chapter 2. Geometrical Methods I 45 -- 2.1. N-body geometry 46 -- 2.2. Channel Hamiltonians 50 -- 2.3. Partitions of unity 54 -- Chapter 3. The Mourre Theory 65 -- 3.1. Local inequalities for operators 68 -- 3.2. Basics of the Mourre theory 71 -- 3.3. The strongly charged case 74 -- 3.4. Analytically fibered operators 80 -- 3.5. Two-particle neutral systems 84 -- 3.6. Dispersive channels 94 -- 3.7. Three-dimensional dispersive systems 104 -- 3.8. Two-dimensional dispersive systems 141 -- Chapter 4. Basic Propagation Estimates 143 -- 4.1. Preliminaries 144 -- 4.2. Asymptotic energy and maximal velocity estimates 150 -- 4.3. Asymptotic velocity along the field 152 -- 4.4. Minimal velocity estimates 155 -- Chapter 5. Geometrical Methods II 167 -- 5.1. The center of orbit observable 168 -- 5.2. Admissible functions 172 -- 5.3. Propagation estimates in the transversal direction 184 -- Chapter 6. Wave Operators and Scattering Theory 201 -- 6.1. Introduction 201 -- 6.2. Channel identification operators 205 -- 6.3. Three-dimensional charged systems 206 -- 6.4. Three-dimensional dispersive systems 213 -- 6.5. Two-dimensional charged systems 221 -- 6.6. Two-dimensional systems with neutral pairs 223 -- Chapter 7. Open Problems 227 -- Chapter 8. Appendix 231.

8

Few-body problem.

Magnetic fields.

Quantum scattering.

Gérard, Christian,1960-

Łaba, Izabella,1966-

20140220092633.0

[Book]

Y